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Finding the Fourth Proportional to 16,206.53, 22,364.64 and 9,132.21

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Solution

The fourth proportional to 16,206.53, 22,364.64 and 9,132.21 is: 12,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.53 : 22,364.64 = 9,132.21 : x
  2. Step 2: Convert to fraction form
    16,206.53/22,364.64 = 9,132.21/x
  3. Step 3: Cross multiply
    16,206.53x = 22,364.64 × 9,132.21
  4. Step 4: Simplify right side
    16,206.53x = 204,238,589.05
  5. Step 5: Solve for x
    x = 204,238,589.05/16,206.53
  6. Step 6: Final answer
    x = 12,602.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.